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Mathematics - Computational Science & Engineering | Diffraction by an Immersed Elastic Wedge

Diffraction by an Immersed Elastic Wedge

Series: Lecture Notes in Mathematics, Vol. 1723

Croisille, Jean-Pierre, Lebeau, Gilles

1999, VIII, 140 p.

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  • About this book

This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected with the coupled linear problem elasticity/fluid by the wedge interface. This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles. The method can be applied to any problem of coupled waves by a wedge interface. This work is of interest for any researcher concerned with high frequency wave scattering, especially mathematicians, acousticians, engineers.

Content Level » Research

Keywords » acoustics - diffraction - numerical analysis - scattering - wave - wave equation

Related subjects » Classical Continuum Physics - Computational Science & Engineering - Theoretical, Mathematical & Computational Physics

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